In Delta ABC,X and Y are the midpoints of AB | vedclass

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(B) According to the Midpoint Theorem,the line segment joining the midpoints of two sides of a triangle is parallel to the third side and is half the

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Trapezium

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(B) According to the Midpoint Theorem,the line segment joining the midpoints of two sides of a triangle is parallel to the third side and is half the length of the third side.In $\Delta ABC$,$X$ and $Y$ are the midpoints of $AB$ and $AC$ respectively.Therefore,$XY \parallel BC$ and $XY = \frac{1}{2} BC$.In quadrilateral $XBCY$,we have one pair of opposite sides $XY$ and $BC$ that are parallel to each other $(XY \parallel BC)$.$A$ quadrilateral with at least one pair of parallel opposite sides is defined as a trapezium.Thus,$XBCY$ is a trapezium.

In $\Delta ABC$,$X$ and $Y$ are the midpoints of $AB$ and $AC$ respectively. State the type of quadrilateral $XBCY$.

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